Cyclic Subgroups

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I discuss how to generate a subgroup from a finite number of elements. I then define a cyclic subgroup and its generator. Finally, I define a cyclic group.

This is for an Abstract Algebra or Modern Algebra course.

  1. Professor Heather Pierce
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Комментарии
Автор

Z6 can be generated by <1> and the inverse of one <5>.

Please continue in this series! :)

chrisdesrochers
Автор

to answer the question at the end of the video: generator "a" is not necessarily unique, because any value of "a" which is prime with respect to the mod # (in this case prime with respect to 6) could be the generator, in this case, that would be 1 & 5 which are both the generator here.

kimia
Автор

Best video explaining this out there! 9

pykeselslayer